Home > Algebra > Write an Equation Given Two Points

What is the equation of the line through points (-2, 5) and (3, 5)?

Answer 1

Eva Adamson

The equation of the line is #y=5#

If #A(x_1,y_1) and B(x_2,y_2)#,then equation of the line:

#color(red)((x-x_1)/(x_2-x_1)=(y-y_1)/(y_2-y_1)#.

But we have,

#A(-2,5) and B(3,5)#

Here, #y_1=y_2=5#

#=>#The line is horizontal and perpendicular to Y-axe.

So ,the equation of the line is #y=5# graph{0x+y=5 [-20, 20, -10, 10]}

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Eva Abramson

The equation of the line passing through points (-2, 5) and (3, 5) is y = 5.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.